M1 - Connected Particles Question

Hi I'm wondering if somebody would be able to help me with this question, cant get my head around it...

Two particles of masses 6m and m are attached to the ends A and B of a light inextensible string which passes over a smooth pulley C at the top of a fixed rough plane inclined at 30⁰ to the horizontal. The particles are at rest with the 6m mass in contact with the plane and the mass m hanging freely so that AC is along the greatest slope of the plane and BC is vertical.

1) Find the frictional force between the 6m and the plane (3 marks).
2) Find the range of values for the coefficient of friction for equilibrium to be possible. (4 Marks)

Many Thanks

That is my diagram. Do I need to form sim equations or resolve vertically?


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R = 6mg x cos(30)


Posted from TSR Mobile

correct

so you now have an expression for the friction.

next 2 separate equations of motion for each object


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But there are two unknowns? The coefficient of friction and friction?


Posted from TSR Mobile

no coefficient of friction to start with

T= friction
T = mg

What about 6mg sin(30)?


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